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Finding the Fourth Proportional to 12,070.64, 16,656.80 and 7,035.68

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Solution

The fourth proportional to 12,070.64, 16,656.80 and 7,035.68 is: 9,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,070.64 : 16,656.80 = 7,035.68 : x
  2. Step 2: Convert to fraction form
    12,070.64/16,656.80 = 7,035.68/x
  3. Step 3: Cross multiply
    12,070.64x = 16,656.80 × 7,035.68
  4. Step 4: Simplify right side
    12,070.64x = 117,191,921.09
  5. Step 5: Solve for x
    x = 117,191,921.09/12,070.64
  6. Step 6: Final answer
    x = 9,708.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.